JSci.maths.wavelet.cdf2_4.MultiSpline2_4 Maven / Gradle / Ivy

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JSci is a set of open source Java packages. The aim is to encapsulate scientific methods/principles in the most natural way possible. As such they should greatly aid the development of scientific based software. It offers: abstract math interfaces, linear algebra (support for various matrix and vector types), statistics (including probability distributions), wavelets, newtonian mechanics, chart/graph components (AWT and Swing), MathML DOM implementation, ... Note: some packages, like javax.comm, for the astro and instruments package aren't listed as dependencies (not available).

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package JSci.maths.wavelet.cdf2_4;

import JSci.maths.*;
import JSci.maths.wavelet.splines.*;
import JSci.maths.wavelet.*;

/******************************************
* Cohen-Daubechies-Feauveau
* with N=2 and
* Ntilde=4 adapted to the interval
* by Deslauriers-Dubuc-Lemire
* @author Daniel Lemire
*****************************************/
public final class MultiSpline2_4 implements Filter {

	public MultiSpline2_4() {}

	// constantes pour le filtre passe-bas
	static final double[] vg={1/2d,1d,1/2d};
	static final double[] v0={1d,1/2d};

	// constantes pour le filtre passe-hat
	static final double[] og={3/128d,3/64d,-1/8d,-19/64d,45/64d,-19/64d,-1/8d,3/64d,3/128d};
	static final double[] o0={-35/64d,875/1536d,-241/768d,-53/512d,41/384d,67/1536d,-5/256d,-5/512d};
	static final double[] on0_1=ArrayMath.invert(o0);
	static final double[] o1={15/64d,-45/512d,-105/256d,345/512d,-31/128d,-53/512d,9/256d,9/512d};
	static final double[] on0_2=ArrayMath.invert(o1);


	/****************************************
  * This method return the number of "scaling"
  * functions at the previous scale given a
  * number of scaling functions. The answer
  * is always smaller than the provided value
  * (about half since this is a dyadic
  * implementation). This relates to the same idea
  * as the "Filter type". It is used by
  * the interface "Filter".
	*****************************************/
	public int previousDimension (int k) {
		int i=(int) Math.round((k+1)/2d);
		if(2*i-1==k) {
			return(i);
		} else {
			throw new IllegalScalingException("Even number of values presented to an odd Filter. Please change the number of values/iterations.");
		}
	}

	/***************************************************
	****************************************************/
	public double[] lowpass (double[] v, double[] param) {
		return(lowpass(v));
	}
	/***************************************************
	****************************************************/
	public double[] highpass (double[] v, double[] param) {
		return(highpass(v));
	}

	/**************************************
	***************************************/
	public double[] lowpass (double[] donnee) {
		if(donnee.length<2) {
			throw new IllegalScalingException("The array is not long enough : "+donnee.length+" < 2");
		}
		double[] sortie=new double[2*donnee.length-1];
		for(int k=1;k=n0)) {
			throw new IllegalArgumentException("Incorrect parameters : "+n0+", "+k+" !");
		}
		if(n0=n0-1)) {
			throw new IllegalArgumentException("Incorrect parameters : "+n0+", "+k);
		}
		if(n01)&&(k